Pith Number

pith:NMXKT5DW

pith:2015:NMXKT5DW75CFM43CI2KWEQLDX7

not attested not anchored not stored refs pending

Joint multifractal analysis based on the partition function approach: Analytical analysis, numerical simulation and empirical application

Gao-Feng Gu, Wei-Xing Zhou, Wen-Jie Xie, Xiong Xiong, Zhi-Qiang Jiang

arxiv:1509.05952 v1 · 2015-09-20 · q-fin.ST · physics.data-an

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NMXKT5DW75CFM43CI2KWEQLDX7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:30:17.571218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b2ea9f476ff445673624695624163bff55305b8d4201d425158bf6c6d5a4481

Aliases

arxiv: 1509.05952 · arxiv_version: 1509.05952v1 · doi: 10.48550/arxiv.1509.05952 · pith_short_12: NMXKT5DW75CF · pith_short_16: NMXKT5DW75CFM43C · pith_short_8: NMXKT5DW

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/NMXKT5DW75CFM43CI2KWEQLDX7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 6b2ea9f476ff445673624695624163bff55305b8d4201d425158bf6c6d5a4481

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cf9b7c6c6fca9a5e368be8d951c7442fbf14aaef36bb08546f774c5b53196c2",
    "cross_cats_sorted": [
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.ST",
    "submitted_at": "2015-09-20T01:45:14Z",
    "title_canon_sha256": "8cad4c47bf359fa4f9bd652b063bc8bf14b9a48e3492737a335a1b243196e341"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05952",
    "kind": "arxiv",
    "version": 1
  }
}